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Simplifying x(2x + -3)(x + 5) = 0 Reorder the terms: x(-3 + 2x)(x + 5) = 0 Reorder the terms: x(-3 + 2x)(5 + x) = 0 Multiply (-3 + 2x) * (5 + x) x(-3(5 + x) + 2x * (5 + x)) = 0 x((5 * -3 + x * -3) + 2x * (5 + x)) = 0 x((-15 + -3x) + 2x * (5 + x)) = 0 x(-15 + -3x + (5 * 2x + x * 2x)) = 0 x(-15 + -3x + (10x + 2x2)) = 0 Combine like terms: -3x + 10x = 7x x(-15 + 7x + 2x2) = 0 (-15 * x + 7x * x + 2x2 * x) = 0 (-15x + 7x2 + 2x3) = 0 Solving -15x + 7x2 + 2x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-15 + 7x + 2x2) = 0 Factor a trinomial. x((-5 + -1x)(3 + -2x)) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-5 + -1x)' equal to zero and attempt to solve: Simplifying -5 + -1x = 0 Solving -5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 0 + 5 -1x = 0 + 5 Combine like terms: 0 + 5 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5Subproblem 3
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {0, -5, 1.5}
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